Propositiones ad Acuendos Juvenes/Problems/29 - De Civitate Rotunda/Historical Note
Jump to navigation
Jump to search
Historical Note on Propositiones ad Acuendos Juvenes by Alcuin of York: Problem $29$: De Civitate Rotunda
The actual area of the town is approximately $8488$ house areas.
Using $\AA = \dfrac {C^2} {16}$ as in $25$: De Campo Rotundo, the area is approximately $6667$ house areas.
Alcuin assumes the circle contains a $1600 \times 2400$ rectangle, but such a circle could hold over $10 \, 000$ house areas.
David Singmaster reports that he managed to fit $8307$ in, but suspects it may be possible to do better.
Sources
- 1992: John Hadley/2 and David Singmaster: Problems to Sharpen the Young (Math. Gazette Vol. 76, no. 475: pp. 102 – 126) www.jstor.org/stable/3620384